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A business firm reduces the number of hours its employees work from 4
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06 Feb 2018, 02:01

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A

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C

D

E

Difficulty:

25% (medium)

Question Stats:

83%(01:17) correct 17%(01:42) wrong based on 39 sessions

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A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x dollars per hour before the reduction in hours, how much does the employee earn per hour under the new system?

A business firm reduces the number of hours its employees work from 4
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06 Feb 2018, 02:07

Bunuel wrote:

A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x dollars per hour before the reduction in hours, how much does the employee earn per hour under the new system?

(A) 1/10 (B) x/9(C) 9x/10(D) 10x/9(E) 9x

Assign easy numbersIf the employee makes 360 dollars for the 40 hours per week, he would earn 9 dollars per hour.Since the employee now only works 36 hours per week, he would earn 10 dollars per hour.

New system pay for employee \(10 = \frac{10}{9}*(x=9)\)

Therefore, the employee earns \(\frac{10x}{9}\) an hour under the new system(Option D)_________________

Re: A business firm reduces the number of hours its employees work from 4
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09 Feb 2018, 10:02

Bunuel wrote:

A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x dollars per hour before the reduction in hours, how much does the employee earn per hour under the new system?

(A) 1/10 (B) x/9(C) 9x/10(D) 10x/9(E) 9x

We can let the original amount of money paid = n, and thus:

n/40 = x

n = 40x

Thus after the reduction in hours, the hourly wage is now:

n/36 = 40x/36 = 10x/9

Alternate Approach:

Since the employee used to work for 40 hours, the employee earns 40x dollars per week. We are told that the weekly wage is not changed, while work hours are decreased to 36. Thus, the employee will now earn 40x/36 = 10x/9 dollars per hour.